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Finding the Fourth Proportional to 33,176.40, 49,643.10 and 24,428.40

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Solution

The fourth proportional to 33,176.40, 49,643.10 and 24,428.40 is: 36,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176.40 : 49,643.10 = 24,428.40 : x
  2. Step 2: Convert to fraction form
    33,176.40/49,643.10 = 24,428.40/x
  3. Step 3: Cross multiply
    33,176.40x = 49,643.10 × 24,428.40
  4. Step 4: Simplify right side
    33,176.40x = 1,212,701,504.04
  5. Step 5: Solve for x
    x = 1,212,701,504.04/33,176.40
  6. Step 6: Final answer
    x = 36,553.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.